Two considerations concerning the free molecular flow of gases in porous ices

Astronomy and Astrophysics – Astrophysics

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Free Molecular Flow, Ice, Mass Flow, Porosity, Vapor Pressure, Knudsen Flow, Latent Heat, Molecular Flow, Pressure Gradients, Rarefied Gas Dynamics

Scientific paper

This study addresses the free molecular flow of gases in porous ices. It is pointed out that for cylindrical vessels the ratio of tube length to tube radius influences the mass flow rate for given Delta-(P/T exp 1/2). A simple expression for the mass flux in the voids of an isotropic porous body is presented. It is made clear that the use of any Knudsen type expression for the mass flow rate requires the smallness of the gradients of the gas properties. In porous ices, a limiting Delta-T over the length scale of the voids is derived, utilizing the Clausius-Clapeyron equation for the vapor pressure. For all practical purposes, the utilization of a Knudsen-type expression for the mass flux in the free molecular regime in porous solar system ices is justified.

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